{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:2BVRCTLIHY2WLM2EYL532QMUX7","short_pith_number":"pith:2BVRCTLI","canonical_record":{"source":{"id":"2501.09637","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-01-16T16:27:45Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"01baabd5acf062c1e316269314b9a8598189330fead078ec7a5f76a4d40fd138","abstract_canon_sha256":"0a88652e0755c4ac1317287f7e7e43ef2dfa6ddfbaccfa3ae7386781383400f4"},"schema_version":"1.0"},"canonical_sha256":"d06b114d683e3565b344c2fbbd4194bffb6bd0d42411adafa5fd0b7076b8a8da","source":{"kind":"arxiv","id":"2501.09637","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.09637","created_at":"2026-07-05T10:01:50Z"},{"alias_kind":"arxiv_version","alias_value":"2501.09637v1","created_at":"2026-07-05T10:01:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.09637","created_at":"2026-07-05T10:01:50Z"},{"alias_kind":"pith_short_12","alias_value":"2BVRCTLIHY2W","created_at":"2026-07-05T10:01:50Z"},{"alias_kind":"pith_short_16","alias_value":"2BVRCTLIHY2WLM2E","created_at":"2026-07-05T10:01:50Z"},{"alias_kind":"pith_short_8","alias_value":"2BVRCTLI","created_at":"2026-07-05T10:01:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:2BVRCTLIHY2WLM2EYL532QMUX7","target":"record","payload":{"canonical_record":{"source":{"id":"2501.09637","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-01-16T16:27:45Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"01baabd5acf062c1e316269314b9a8598189330fead078ec7a5f76a4d40fd138","abstract_canon_sha256":"0a88652e0755c4ac1317287f7e7e43ef2dfa6ddfbaccfa3ae7386781383400f4"},"schema_version":"1.0"},"canonical_sha256":"d06b114d683e3565b344c2fbbd4194bffb6bd0d42411adafa5fd0b7076b8a8da","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:01:50.037397Z","signature_b64":"5+Tr6cw6zumiQxFV4yxWSSjTNTyA2XMoEtceFcKebBBYBBEPtqEF9YJc6qzxBjW4YSlofvg+5juIKcC4jPGRAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d06b114d683e3565b344c2fbbd4194bffb6bd0d42411adafa5fd0b7076b8a8da","last_reissued_at":"2026-07-05T10:01:50.036912Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:01:50.036912Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2501.09637","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T10:01:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cw9Vp6rxi3cwwv85qRsogMygPmnxHK4MsCCZ6b4Ivd2jxoYbA2Czrcalu4A32O7h9wi06bK3KN92HhaAWXztAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T07:16:18.077955Z"},"content_sha256":"a393aac688e72b634f137d18fd3102822eb1924c18e349c96e30be508dd61b8a","schema_version":"1.0","event_id":"sha256:a393aac688e72b634f137d18fd3102822eb1924c18e349c96e30be508dd61b8a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:2BVRCTLIHY2WLM2EYL532QMUX7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum Contextual Hypergraphs, Operators, Inequalities, and Applications in Higher Dimensions","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Mladen Pavicic","submitted_at":"2025-01-16T16:27:45Z","abstract_excerpt":"Quantum contextuality plays a significant role in supporting quantum computation and quantum information theory. The key tools for this are the Kochen--Specker and non-Kochen--Specker contextual sets. Traditionally, their representation has been predominantly operator-based, mainly focusing on specific constructs in dimensions ranging from three to eight. However, nearly all of these constructs can be represented as low-dimensional hypergraphs. This study demonstrates how to generate contextual hypergraphs in any dimension using various methods, particularly those that do not scale in complexi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.09637","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2501.09637/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T10:01:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GWUyqHXYVWDxC3s+5jKwmqtFjdtw2dqZKYlFeA4GsQIrf7C3jCc8hMNvKTzyV0YUNBoTHyxSrmCETm0hyRR3DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T07:16:18.079056Z"},"content_sha256":"a29eda42c0427e2f97ebbaab7d431ddf110f1da8b077a8c9e9c00096a565479e","schema_version":"1.0","event_id":"sha256:a29eda42c0427e2f97ebbaab7d431ddf110f1da8b077a8c9e9c00096a565479e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2BVRCTLIHY2WLM2EYL532QMUX7/bundle.json","state_url":"https://pith.science/pith/2BVRCTLIHY2WLM2EYL532QMUX7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2BVRCTLIHY2WLM2EYL532QMUX7/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-11T07:16:18Z","links":{"resolver":"https://pith.science/pith/2BVRCTLIHY2WLM2EYL532QMUX7","bundle":"https://pith.science/pith/2BVRCTLIHY2WLM2EYL532QMUX7/bundle.json","state":"https://pith.science/pith/2BVRCTLIHY2WLM2EYL532QMUX7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2BVRCTLIHY2WLM2EYL532QMUX7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:2BVRCTLIHY2WLM2EYL532QMUX7","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"0a88652e0755c4ac1317287f7e7e43ef2dfa6ddfbaccfa3ae7386781383400f4","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-01-16T16:27:45Z","title_canon_sha256":"01baabd5acf062c1e316269314b9a8598189330fead078ec7a5f76a4d40fd138"},"schema_version":"1.0","source":{"id":"2501.09637","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.09637","created_at":"2026-07-05T10:01:50Z"},{"alias_kind":"arxiv_version","alias_value":"2501.09637v1","created_at":"2026-07-05T10:01:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.09637","created_at":"2026-07-05T10:01:50Z"},{"alias_kind":"pith_short_12","alias_value":"2BVRCTLIHY2W","created_at":"2026-07-05T10:01:50Z"},{"alias_kind":"pith_short_16","alias_value":"2BVRCTLIHY2WLM2E","created_at":"2026-07-05T10:01:50Z"},{"alias_kind":"pith_short_8","alias_value":"2BVRCTLI","created_at":"2026-07-05T10:01:50Z"}],"graph_snapshots":[{"event_id":"sha256:a29eda42c0427e2f97ebbaab7d431ddf110f1da8b077a8c9e9c00096a565479e","target":"graph","created_at":"2026-07-05T10:01:50Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2501.09637/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Quantum contextuality plays a significant role in supporting quantum computation and quantum information theory. The key tools for this are the Kochen--Specker and non-Kochen--Specker contextual sets. Traditionally, their representation has been predominantly operator-based, mainly focusing on specific constructs in dimensions ranging from three to eight. However, nearly all of these constructs can be represented as low-dimensional hypergraphs. This study demonstrates how to generate contextual hypergraphs in any dimension using various methods, particularly those that do not scale in complexi","authors_text":"Mladen Pavicic","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-01-16T16:27:45Z","title":"Quantum Contextual Hypergraphs, Operators, Inequalities, and Applications in Higher Dimensions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.09637","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:a393aac688e72b634f137d18fd3102822eb1924c18e349c96e30be508dd61b8a","target":"record","created_at":"2026-07-05T10:01:50Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"0a88652e0755c4ac1317287f7e7e43ef2dfa6ddfbaccfa3ae7386781383400f4","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-01-16T16:27:45Z","title_canon_sha256":"01baabd5acf062c1e316269314b9a8598189330fead078ec7a5f76a4d40fd138"},"schema_version":"1.0","source":{"id":"2501.09637","kind":"arxiv","version":1}},"canonical_sha256":"d06b114d683e3565b344c2fbbd4194bffb6bd0d42411adafa5fd0b7076b8a8da","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d06b114d683e3565b344c2fbbd4194bffb6bd0d42411adafa5fd0b7076b8a8da","first_computed_at":"2026-07-05T10:01:50.036912Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:01:50.036912Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5+Tr6cw6zumiQxFV4yxWSSjTNTyA2XMoEtceFcKebBBYBBEPtqEF9YJc6qzxBjW4YSlofvg+5juIKcC4jPGRAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T10:01:50.037397Z","signed_message":"canonical_sha256_bytes"},"source_id":"2501.09637","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a393aac688e72b634f137d18fd3102822eb1924c18e349c96e30be508dd61b8a","sha256:a29eda42c0427e2f97ebbaab7d431ddf110f1da8b077a8c9e9c00096a565479e"],"state_sha256":"9361ca2c5dfd1d754856719a8411152fe3d5027096aed76d1829e53b75774dab"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q6eliyCIfWabAvPxhVkXNwA/ag6UGFZto7MpCLI+TEaHYIxo4Gj7LVF5Hxeo5SW/jiRgdvPH7mK9QEgbj+SWDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T07:16:18.085361Z","bundle_sha256":"6e483baea3ada1edfcb71cdf1d935aabe361ab56440371d64b0530d388480383"}}